4121904 has 40 divisors (see below), whose sum is σ = 10792960. Its totient is φ = 1355328.

The previous prime is 4121903. The next prime is 4121927. The reversal of 4121904 is 4091214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4121903) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3249 + ... + 4335.

It is an arithmetic number, because the mean of its divisors is an integer number (269824).

Almost surely, 2^4121904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4121904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5396480).

4121904 is an abundant number, since it is smaller than the sum of its proper divisors (6671056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4121904 is a wasteful number, since it uses less digits than its factorization.

4121904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 4121904 is about 2030.2472755800. The cubic root of 4121904 is about 160.3365831189.

It can be divided in two parts, 41 and 21904, that added together give a triangular number (21945 = T₂₀₉).

The spelling of 4121904 in words is "four million, one hundred twenty-one thousand, nine hundred four".